Information on Result #1044376
Linear OOA(9136, 98, F9, 3, 80) (dual of [(98, 3), 158, 81]-NRT-code), using construction X applied to AG(3;F,138P) ⊂ AG(3;F,175P) based on
- linear OOA(997, 73, F9, 3, 80) (dual of [(73, 3), 122, 81]-NRT-code), using algebraic-geometric NRT-code AG(3;F,138P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(960, 73, F9, 3, 43) (dual of [(73, 3), 159, 44]-NRT-code), using algebraic-geometric NRT-code AG(3;F,175P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(939, 25, F9, 3, 36) (dual of [(25, 3), 36, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(939, 28, F9, 3, 36) (dual of [(28, 3), 45, 37]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,47P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(3;F,47P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(939, 28, F9, 3, 36) (dual of [(28, 3), 45, 37]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.